If the x- intercept is 2 and the y- intercept is -5 and the slope is 1/3. Write in equation in slope intercept form and standard form.

Answer:

100 days

Step-by-step explanation:

You know that you write at a speed of 5 pages every 2 days. In order to write a 250 page novel, you're going to have to to write 250/5 = 50 *2 = 100 days.

The wingspan of the new model will be 2 times larger than the wingspan of the first model.

A scale model is a physical model of an object. Scale models are often used in engineering, architecture, and filmmaking, among other fields, to simulate the appearance or functionality of real-world objects.

According to the question, 1 cm of the scale model equals 6 meters of the airplane. Thus, to find the actual wingspan of the airplane, you can multiply the wingspan of the scale model by the ratio of the actual wingspan to the wingspan of the scale model, as shown below:

Wingspan of the airplane = Wingspan of the model × Ratio

To convert the scale model ratio from 1 cm = 6 meters to 1 cm = 3 meters, divide by 2. Since Selena's model has a wingspan of 10.7 cm, you can calculate the wingspan of the actual airplane using the equation above, as shown below:

Wingspan of the airplane = 10.7 × 6/1 = 64.2 m (for the first model)Wingspan of the airplane = 10.7 × 3/1 = 32.1 m (for the new model)

Now you can compare the wingspan of the two models to determine how the wingspan of the new model compares to the wingspan of the first model.

The wingspan of the new model will be 2 times larger than the wingspan of the first model, since 64.2 ÷ 32.1 = 2. Therefore, the correct answer is that the wingspan of the new model will be 2 times larger than the wingspan of the first model.

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Answer:

Step-by-step explanation:

Mean absolute deviation is too large for the science book, therefore the mean is not a reliable data to consider.

Since we can't rely on the mean, Maggie's conclusion is not right.

Answer:

its 18

Step-by-step explanation:

i took this testtttttttttttt

Answer:

18

Step-by-step explanation:

Answer:

Hope the picture will help you

Answer:

A. M=6

Step-by-step explanation:

Basically, this question is asking you to find m if 4/16 = m/24.

First, 4/16 can be simplified to 1/4. This will make it easier to solve.

You now have 1/4 = m/24.

Multiply both sides by 24 to get 24/4 = m.

Simplify to get m = 6.

The area of the original garden is 7200 square feet.

Given,

a rectangular garden has a length that is twice its width. the dimensions are increased so that the perimeter is doubled and the new shape is a square with an area of 3600 square feet.

we are asked to determine the area of the original garden = ?

let the width be x

and the length be 2x

area of the square = 3600 sq feet

Perimeter of the rectangle = 2(l+b)

⇒ 2(2x+x)

⇒ 2(3x)=6x

area of square = a²

a² = 3600

a = √3600

a = 60

now we get the width = 60

length = 2(60)

= 120

Now calculate the area of the rectangle:

= l×b

= 60 × 120

= 7200

hence we get the area as 7200 square feet.

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Answer:

Hayley is correct.

Step-by-step explanation:

81 can have a base of 9, as 9*9 = 81. However, it can also have a base of 3, as 3*3*3*3 = 81. 81 can be shown as a power with a base of 3 or 9.

Answer:

y = -4x + 12

Step-by-step explanation:

For a line to be parallel, it needs to have the same slope.

Point intercept form: y - y₁ = m (x - x₁)

Where y and x are just kept as y and x, y₁ and x₁ are the parts of a coordinate, and m = slope.

So, in order for the line to be parallel, it needs to have the same slope as the first equation. The slope of the line (which is the "m" in y = mx + b) is..

4x + y = 7

y = -4x + 7

So, m, or the slope, is -4.

Plug this, along with the coordinate the problem gives you into point-intercept form.

y - y₁ = m (x - x₁)

y - 8 = -4 (x - 1)

Simplify.

y - 8 = -4x + 4

Add 8 to both sides.

y = -4x + 12

The equivalent expression of (a⁻⁷ . b⁻²)⁻⁹ is a⁶³b¹⁸

using the law of indices,

\((a^{x}) ^{y} = a^{x X y} =a^{xy}\)

Therefore, we multiply the inner exponent by the outer exponent.

(a⁻⁷ . b⁻²)⁻⁹ = a⁻⁷ ˣ ⁻⁹ b⁻² ˣ ⁻ ⁹

a⁻⁷ ˣ ⁻⁹ b⁻² ˣ ⁻ ⁹ = a⁶³b¹⁸

Therefore,

(a⁻⁷ . b⁻²)⁻⁹ =  a⁶³b¹⁸

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The Z-score for 12 is -0.83.

Z-score is a statistical measurement that describes a value's relationship to the mean of a group of values. Z-score is measured in terms of standard deviations from the mean. If a Z-score is 0, it indicates that the data point's score is identical to the mean score.

The formula for calculating the Z-score of a data point x in a sample with mean μ and standard deviation σ is:

Z = (x - μ) / σ

Substituting the given values, we get:

Z = (12 - 17) / 6

Z = -0.83 (rounded to two decimal places)

Therefore, the Z-score for 12 in the given sample of data values is -0.83 (to the nearest 0.01).

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To determine a fair amount to pay for playing the game, we need to calculate the expected value, which represents the average outcome of the game. In this game, there are 16 possible outcomes when flipping four coins, ranging from no heads (HHHH) to four heads (TTTT). We win $1 if we ever flip two heads in a row.

To calculate the expected value, we assign a value of $1 to the favorable outcome (two heads in a row) and $0 to all other outcomes. Since there are three ways to achieve two heads in a row (HHHT, THHH, HTHH), the total value for these outcomes is $3. The remaining 13 outcomes have a value of $0.

The probability of getting two heads in a row is 3/16 because there are three favorable outcomes out of 16 total outcomes. Therefore, the expected value is (3/16) * $1 + (13/16) * $0 = $3/16.

A fair amount to pay for playing this game would be equal to the expected value, which is $3/16. This means that on average, if you play this game multiple times, you would expect to win $3 for every 16 games played.

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The area of the shaded region is 15 \(yd^2\).

The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.

Here in the given diagram contains right triangle and rectangle.

We need to find both triangle and rectangle  area in order to find area of shaded region.

Now Base= 3+4 = 7 yd , Height h =6 yd. Then,

Area of triangle A = \(\frac{1}{2}bh\) square unit

=> A = \(\frac{1}{2}\times7\times6\)

=> A = \(7\times3 = 21 yd^2\)

Now breadth b = 3 yd , Width w=2 yd, Then

Area of rectangle = bw square unit.

=> A = 3×2 = 6 \(yd^2\)

Now area of the shaded region = Area of triangle - Area of rectangle

=> Area of shaded region = 21-6 = 15 \(yd^2\).

Hence the area of the shaded region is 15 \(yd^2\).

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Answer:

the answer is 1/50

Step-by-step explanation:

A random number generator is used to select an integer from 1 to 50. Since random number generator generates any number randomly, all the numbers from 1 to 50

Answer:

6 tomatoes

Step-by-step explanation:

480/80=6

Answer:

6 tomatoes

Step-by-step explanation:

480 ÷ 80

=> 6 tomatoes

Hoped this helped.

Answer:

\( w = \dfrac{Q - 1}{5} \)

Step-by-step explanation:

Q = 5w + 1

Switch sides.

5w + 1 = Q

Subtract 1 from both sides.

5w = Q - 1

Divide both sides by 5.

\( w = \dfrac{Q - 1}{5} \)

To make w the subject of the formula Q=5w+1, subtract 1 from both sides and then divide both sides by 5 to solve for w.

To make w the subject of the formula Q=5w+1, we need to isolate w on one side of the equation. Here are the steps:

By following these steps, you can make w the subject of the formula Q=5w+1.

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Answer:

  y = (4 -x)e^-2

Step-by-step explanation:

You want an equation of the tangent line to the graph of f(x) = xe^−x at its inflection point.

The inflection point on a curve is the point where the second derivative is zero, where the curve changes from being concave downward to concave upward, or vice versa.

We can use the product rule to differentiate f(x):

  (uv)' = u'v +uv'

  f'(x) = 1·e^-x +x·(-1)(e^-x) = (e^-x)(1 -x)

Then the second derivative is ...

  f''(x) = (-e^-x)(1 -x) +(e^-x)(-1) = (e^-x)(x -2)

The second derivative is zero where one of its factors is zero. e^-x is never zero, so we have ...

  (x -2) = 0   ⇒   x = 2

The point of inflection occurs at x = 2.

The point-slope equation of the line with slope m through point (h, k) is ...

  y -k = m(x -h)

For this problem, we have ...

  m = f'(2) = (e^-2)(1 -(2)) = -e^-2

  (h, k) = (2, f(2)) = (2, 2e^-2)

So, the equation of the tangent line is ...

  y -2e^-2 = -e^-2(x -2)

In slope-intercept form, this is ...

  y = (-e^-2)x +4e^-2

__

Additional comment

We can rearrange the equation to ...

  y = (4 -x)e^-2

Usually a tangent line touches the graph, but does not cross it. The tangent at the point of inflection necessarily crosses the graph.

Answer:

2 2/3

Step-by-step explanation:

Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

Answer:

First box

Answer is 2

Second top box

A is 2

Botom left box

A is 8

Lastly Botom right box

A is 4

Step-by-step explanation:

Just substitute where the is x

The primary code we use to signal identity, according to Remland, is nonverbal communication.

Nonverbal communication refers to the transmission of messages without the use of words. It involves various forms of communication such as facial expressions, body language, gestures, posture, eye contact, and tone of voice. Remland, a researcher in the field of communication, emphasizes the significance of nonverbal cues in signaling identity.

Nonverbal cues play a crucial role in expressing our cultural, social, and personal identities. They can convey information about our emotions, attitudes, status, and affiliations. For example, the way we dress, our choice of accessories, and our body language can communicate aspects of our identity such as our gender, social group, or profession.

Nonverbal communication is particularly powerful because it often operates at an unconscious level and can convey messages that are difficult to express through words alone. These nonverbal signals can shape impressions, establish connections, and influence how others perceive and respond to us.

According to Remland, nonverbal communication is the primary code we use to signal identity. Understanding and interpreting nonverbal cues are essential for effective communication and for navigating social interactions, as they provide valuable insights into the identities and intentions of individuals.

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The answer is option A. No, there is a good chance that 12 randomly selected adult male passengers will exceed the elevator capacity.

Probability that it is overloaded if 12 adult male passengers have a mean weight greater than 157 lb is 0.0229.Round to four decimal places as needed.Based on the calculations the elevator does not appear to be safe.The solution for the given problem is as follows:

Given that, the maximum capacity of the elevator is 1884 lb - 12 passengers.

We can write as below:

Maximum capacity per person=1884/12=157lb.

And, weights of males are normally distributed with a mean of 165 lb and a standard deviation of 32 lb.Thus, Z = (157-165) / (32 / √12) = -1.7321Then, P(Z > -1.7321) = 0.9586

Hence, the probability that it is overloaded if 12 adult male passengers have a mean weight greater than 157 lb is:P(Z > -1.7321) = 1 - P(Z < -1.7321) = 1 - 0.0229 = 0.9771 (rounded off to 4 decimal places).This probability is greater than 5% and therefore, the elevator does not appear to be safe.

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The size sample would be needed to estimate the proportion of black with an error of no more than 0.05 and a confidence level of 95% is 289.

The size sample can be calculated with the equation as follows:

\(n=(\frac{Z_{1-\frac{a}{2} }^ }{a})^{2} P (1-P)\)

where,

n = size sample

\(Z_{1-\frac{a}{2} }^{2}\) = 1.96 for \(a\)=0.05

\(P\) = population

\(a\) = margin of error

Therefore,

\(n=(\frac{1.96^{}}{0.05})^{2} 0.25(1-0.25)\)

\(n=(\frac{1.96^{}}{0.05})^{2} 0.25(0.75)\)

\(n=288.12\) ≈ 289

The number of size sample is 289

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The mean and variance of a binomial random variable with n trials and success probability p are np and np(1-p), respectively.

The mean and variance of a binomial random variable with n trials and success probability p are given by the following formulas:

Mean = np

Variance = np(1-p)

Where n is the number of trials and p is the probability of success in each trial.

To understand this better, let's consider an example. Suppose we conduct an experiment where we toss a coin 10 times and we want to know the probability of getting exactly 5 heads.

This is a binomial experiment because there are only two possible outcomes (heads or tails) and each trial is independent of the others. The probability of getting a head on any given trial is 0.5.

Using the formula for the mean, we get:

Mean = np = 10 x 0.5 = 5

This means that on average, we can expect to get 5 heads out of 10 tosses.

Using the formula for the variance, we get:

Variance = np(1-p) = 10 x 0.5 x (1-0.5) = 2.5

This means that the spread of the distribution is relatively large, indicating that there is a significant amount of variability in the number of heads we can expect to get.

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The series ∑((-1)⁽ⁿ⁻¹⁾ * 5n)/(6n) from n = 1 to infinity converges based on the alternating series test.

To test the series for convergence or divergence using the alternating series test, we need to check if the terms of the series alternate in sign and if their absolute values decrease as n increases.

The series is given by:

∑((-1)⁽ⁿ⁻¹⁾  * 5n)/(6n) from n = 1 to infinity

Let's analyze the terms of the series:

Alternating sign: The terms alternate between positive and negative because of the (-1)⁽ⁿ⁻¹⁾ factor.

Decreasing absolute values: We can simplify the terms by canceling out the common factors of 5 and 6:

((-1)⁽ⁿ⁻¹⁾  * 5n)/(6n) = (-5/6)ⁿ

The absolute values of the terms are decreasing because

|(-5/6)ⁿ| < |(-5/6)⁽ⁿ⁻¹⁾ | for all n.

Since the series satisfies the conditions of the alternating series test, namely alternating sign and decreasing absolute values, we can conclude that the series converges.

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Answer:

70 and 30

Step-by-step explanation:

The midpoint between the endpoints (9, -1) and (1, 15) is equal to (5, 7).

In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).

Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]

Substituting the given parameters into the midpoint of a line segment formula, we have the following;

Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]

Midpoint = [(9 + 1)/2, ((-1) + 15)/2]

Midpoint = [(10)/2, (14)/2]

Midpoint = (5, 7).

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Answer:

10(theta) = 12

theta = 1.2 radians = about 68.8°

phi = .6 radians = about 34.4°

Answer:2a^7-16a^6+18a^5

Step-by-step explanation:

Take a2(2a^3)=2a^5

2a^5(a2-8a+9)

=2a^7-16a^6+18a^5

Answer:

Its a

Step-by-step explanation:

got it right.

Answer:

x= -2

x= 14

Step-by-step explanation:

Hope this is useful! have a wonderful night or day, God bless you!